Remove the rinds/skins from the cantaloupe, honeydew, watermelon, pineapple, mangoes, and kiwis. Slice the kiwis and then cut the rest of the fruit into bite-size pieces (medium dice). Place the cut fruit into a large mixing bowl. Drain the oranges, reserve the syrup for the dressing, and add the oranges to the bowl as well.
In a small mixing bowl, whisk together the honey and orange syrup from the canned mandarins. Zest and juice the lime and add both to the bowl. Whisk again.
Pour the dressing over the fruit in the bowl and gently toss to combine.
If serving the fruit salad later, cover the bowl with plastic wrap and chill until you're ready to eat.
Before serving, stir the salad one more time. Add the blueberries and raspberries and gently toss, being careful not to break up the berries. Serve immediately.